4 339 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
36055069969873	14	45.0	old
31656104144718898310053878501271041700569421852927688143	56	184.4	2020-10-01 12:04:37

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	14631 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	6B17848EB55F7974	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	6B17848EB55F7974	1	1260	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	BBF4A10A4FC9A9F6	1	325	5	3
Verified	2020-10-01	mnd9	BBF4A10A4FC9A9F6	2	3614	5	3
Verified	2020-10-02	tottenhoff	BBF4A10A4FC9A9F6	2	1469	5	3

History

Date	User	Type	Result
2023-05-21	-Anonymous-	NF-PM1	B1=74000000000, B2=741754046177194050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-02	tottenhoff	C-PRP	M4339/36055069969873/31656104144718898310053878501271041700569421852927688143 : BBF4A10A4FC9A9F6 PRP: Verified PRP without proof (small exponent)
2020-10-01	mnd9	C-PRP	M4339/36055069969873/31656104144718898310053878501271041700569421852927688143 : BBF4A10A4FC9A9F6 PRP: Verified PRP without proof (small exponent)
2020-10-01	Ryan Propper	F-ECM	Factor: 31656104144718898310053878501271041700569421852927688143 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=846077765664756712)
2020-04-17	Oliver Kruse	C-PRP	M4339/36055069969873 : BBF4A10A4FC9A9F6 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4339/36055069969873 : 6B17848EB55F7974 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4339/36055069969873 : 6B17848EB55F7974 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4339/36055069969873 : 6B17848EB55F7974 PRP without proof (not generated)